Details

analyze23.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	781	7
1	781	7

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (+ x y) (- x y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

7.0ms

(/ (+ x y) (- x y))

series8.0ms

Counts

1 → 3

Calls

1 calls:

8.0ms

(/ (+ x y) (- x y))

simplify42.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4959	532
1	4959	532

prune49.0ms

Filtered

32 candidates to 48 candidates (-50.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	5	49

Merged error: 0.0b

Counts

49 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x y) (- x y))
0.0b	(cbrt (pow (/ (+ x y) (- x y)) 3))
0.1b	(pow (/ (+ x y) (- x y)) 3)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
100×	`times-frac`
98×	`add-sqr-sqrt`
58×	`cbrt-prod`
56×	`add-cube-cbrt`
52×	`unpow-prod-down` `cube-prod`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
5×	`flip3--` `associate-/r*` `flip--` `div-inv`
4×	`pow1` `associate-/l*`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `clear-num` `rem-cbrt-cube` `flip-+`

Counts

3 → 185

Calls

3 calls:

7.0ms	(/ (+ x y) (- x y))
16.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
15.0ms	(pow (/ (+ x y) (- x y)) 3)

series31.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(/ (+ x y) (- x y))
11.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
12.0ms	(pow (/ (+ x y) (- x y)) 3)

simplify44.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5492	2496

prune131.0ms

Filtered

84 candidates to 194 candidates (-131.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	193	1	194
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	193	6	199

Merged error: 0b

Counts

199 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (cbrt (pow (/ (+ x y) (- x y)) 3)) 3))
0.0b	(cbrt (pow (/ (+ x y) (- x y)) 3))
0.1b	(pow (/ (+ x y) (- x y)) 3)
0.1b	(pow (cbrt (pow (/ (+ x y) (- x y)) 3)) 3)

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

418×	`cbrt-prod`
352×	`*-un-lft-identity`
278×	`unpow-prod-down` `cube-prod`
240×	`times-frac`
232×	`add-sqr-sqrt`
136×	`add-cube-cbrt`
60×	`distribute-lft-out`
48×	`distribute-lft-out--` `difference-of-squares`
24×	`associate-/r/`
12×	`flip3--` `flip--` `div-inv`
8×	`add-exp-log` `cube-mult` `unpow3` `sqr-pow`
7×	`add-cbrt-cube`
6×	`pow1` `cube-div` `pow-unpow`
4×	`cbrt-div` `add-log-exp`
3×	`pow-pow` `pow1/3` `pow-exp` `rem-cube-cbrt`
2×	`pow-to-exp` `rem-cbrt-cube`
1×	`cbrt-undiv` `div-exp`

Counts

4 → 419

Calls

4 calls:

24.0ms	(cbrt (pow (cbrt (pow (/ (+ x y) (- x y)) 3)) 3))
10.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
10.0ms	(pow (/ (+ x y) (- x y)) 3)
17.0ms	(pow (cbrt (pow (/ (+ x y) (- x y)) 3)) 3)

series67.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(cbrt (pow (cbrt (pow (/ (+ x y) (- x y)) 3)) 3))
11.0ms	(cbrt (pow (/ (+ x y) (- x y)) 3))
13.0ms	(pow (/ (+ x y) (- x y)) 3)
32.0ms	(pow (cbrt (pow (/ (+ x y) (- x y)) 3)) 3)

simplify100.0ms

Algorithm

egg-herbie

Counts

431 → 431

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5705	6193

prune189.0ms

Filtered

110 candidates to 431 candidates (-291.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	431	0	431
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	431	6	437

Merged error: 0b

Counts

437 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x y) (- x y))
0.0b	(/ (+ x y) (- x y))
0.0b	(/ (+ x y) (- x y))
0.0b	(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

321×	`*-un-lft-identity`
190×	`times-frac`
183×	`add-sqr-sqrt`
160×	`cbrt-prod`
89×	`add-cube-cbrt`
56×	`distribute-lft-out`
51×	`swap-sqr`
47×	`distribute-lft-out--`
35×	`difference-of-squares`
29×	`associate-r` `associate-l`
15×	`associate-/r*`
14×	`associate-/r/`
12×	`add-exp-log` `associate-/l*`
11×	`pow1`
10×	`add-cbrt-cube`
9×	`unswap-sqr`
7×	`flip3--` `flip--` `div-inv`
6×	`pow1/3` `associate-/l/`
4×	`cbrt-div` `add-log-exp`
3×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 274

Calls

4 calls:

7.0ms	(/ (+ x y) (- x y))
9.0ms	(/ (+ x y) (- x y))
8.0ms	(/ (+ x y) (- x y))
29.0ms	(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))

series52.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/ (+ x y) (- x y))
8.0ms	(/ (+ x y) (- x y))
8.0ms	(/ (+ x y) (- x y))
24.0ms	(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))

simplify77.0ms

Algorithm

egg-herbie

Counts

286 → 286

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	6104	4467

prune197.0ms

Filtered

170 candidates to 286 candidates (-68.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	286	0	286
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	286	6	292

Merged error: 0b

Counts

292 → 6

regimes128.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

sample300.0ms

Algorithm

intervals

Results

174.0ms

8000×

body

valid

Details

analyze23.0ms

sample12.0ms

simplify38.0ms

prune2.0ms

localize4.0ms

rewrite9.0ms

series8.0ms

simplify42.0ms

prune49.0ms

localize7.0ms

rewrite47.0ms

series31.0ms

simplify44.0ms

prune131.0ms

localize10.0ms

rewrite88.0ms

series67.0ms

simplify100.0ms

prune189.0ms

localize8.0ms

rewrite69.0ms

series52.0ms

simplify77.0ms

prune197.0ms

regimes128.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample300.0ms

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